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Unitary representations of real reductive groups/ Jeffrey D Adams & et al

By: Adams, Jeffrey D & et al [author].
Material type: TextTextSeries: Asterisque; 417.Publisher: Paris: Societe Mathematique De France, 2020Description: x, 176 pages 24 cm.ISBN: 9782856299180.Subject(s): Uniteary Representation | Kazhdan-Lusztig Polynomial | Hermitian FormDDC classification: 512.22
Contents:
Index of notation -- First introduction -- Nonunitary representations -- Real reductive groups -- Maximal tori -- Coverings of tori -- Langlands classification and the nonunitary dual -- Second introduction: the shape of the unitary dual -- Hermitian forms on (h,L(C)) modules -- Interlude: realizing standard modules -- Invariant forms on irreducible representations -- Standard and c-invariant forms in the equal rank case -- Twisting by the Cartan involution -- Langlands parameters for extended groups -- Jantzen filtrations and Hermitian forms -- Signature characters for c-invariant forms -- Translation functiors: firsat facts -- Translation functors for extended groups -- Kazhdan-Lusztig polynomials for characters -- Kazhdan-Lusztig polynomials for c-invariant forms -- Deformation to v=0 -- Example: Hermitian forms for SL(2,C) -- Bibliography
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
512.22 As853 (Browse shelf) Available C26673
Total holds: 0

Includes bibliographical references

Index of notation -- First introduction -- Nonunitary representations -- Real reductive groups -- Maximal tori -- Coverings of tori -- Langlands classification and the nonunitary dual -- Second introduction: the shape of the unitary dual -- Hermitian forms on (h,L(C)) modules -- Interlude: realizing standard modules -- Invariant forms on irreducible representations -- Standard and c-invariant forms in the equal rank case -- Twisting by the Cartan involution -- Langlands parameters for extended groups -- Jantzen filtrations and Hermitian forms -- Signature characters for c-invariant forms -- Translation functiors: firsat facts -- Translation functors for extended groups -- Kazhdan-Lusztig polynomials for characters -- Kazhdan-Lusztig polynomials for c-invariant forms -- Deformation to v=0 -- Example: Hermitian forms for SL(2,C) -- Bibliography

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